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Linear Equations

Lesson 5. Linear Equations. Solving Two-Step Equations. Warm-Up. Write an equation for each statement and solve to determine the unknown number. The sum of a number and twenty is eighty-seven. The quotient of a number and four is negative six.

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Linear Equations

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  1. Lesson 5 Linear Equations Solving Two-Step Equations

  2. Warm-Up Write an equation for each statement and solve to determine the unknown number. • The sum of a number and twenty is eighty-seven. • The quotient of a number and four is negative six. • A number decreased by three tenths is one and two tenths.

  3. Solving Two-Step Equations Target: Solve two-step equations.

  4. Example 1 Solve the equation for x. Check the solution. 8x – 3 = 85 + 3 + 3 8x = 88 8 8 x = 11 8(11) – 3 = 88 – 3 = 85

  5. Example 2 Solve the equation for x. Check the solution.

  6. Example 3 Use an equation mat to illustrate and solve the equation 2x – 4 = 6. • Set up the mat. • Add four positive chips. • Divide into equal groups. • Solution: x = 5

  7. Example 4 Eight more than 3 times a number is 29. Write and solve an equation to find the value of the number. 3x + 8 = 29 – 8 – 8 3x = 21 3 3 x = 7 3(7) + 8 = 21 + 8 = 29

  8. Exit Problems Solve each equation for x. • 4x + 5 = 49 • 5 – 2x = 25

  9. Communication Prompt Why is it important to show your work and check your solution when solving an equation?

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